Bibounded uo-convergence and b-property in vector lattices

2021-01-01
Alpay, Safak
Emelyanov, Eduard
Gorokhova, Svetlana
We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X, X∼⟩ , X has b-property if and only if the order convergence in X agrees with the order convergence in X∼ ∼.

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Citation Formats
S. Alpay, E. Emelyanov, and S. Gorokhova, “Bibounded uo-convergence and b-property in vector lattices,” Positivity, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106931550&origin=inward.